Question

A wheel has a radius of .30m. It rotates 185 times before it stops.

How far did the vehicle travel?

Answer 1

The circumference of any circle is (2 pi) x (radius) .

185 times the circumference of a circle is (185) x (2 pi) x (radius) .

If the wheel doesn't slip, then it rolls (185) x (2 pi) x (0.3 m) = 348.72 m (rounded)

Answer 2

Here is the sollution:

During one rotation the wheel covers the distance of its circumference that can be counted with formula:

`x=2*π*r`
in which r is radius, then:

`x=2*3,14*0.30m=1,884m`

We know that it rotates 185 times so you need to multiply the wheel's circumference by 185 to get total distance (D):

`D=185*x=185*1,884m=348,54m`
The answer is that the vehicle traveled 348,54 m far.